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Finding the Fourth Proportional to 10,241.71, 15,358.21 and 4,314.74

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Solution

The fourth proportional to 10,241.71, 15,358.21 and 4,314.74 is: 6,470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.71 : 15,358.21 = 4,314.74 : x
  2. Step 2: Convert to fraction form
    10,241.71/15,358.21 = 4,314.74/x
  3. Step 3: Cross multiply
    10,241.71x = 15,358.21 × 4,314.74
  4. Step 4: Simplify right side
    10,241.71x = 66,266,595.44
  5. Step 5: Solve for x
    x = 66,266,595.44/10,241.71
  6. Step 6: Final answer
    x = 6,470.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.